Constraints on scalar-tensor theory of gravity by the recent observational results on gravitational waves

Abstract

The speed of gravitational waves provides us a new tool to test alternative theories of gravity. The constraint on the speed of gravitational waves from GW170817 and GRB170817A is used to test some classes of Horndeski theory. In particular, we consider the coupling of a scalar field to Einstein tensor and the coupling of the Gauss-Bonnet term to a scalar field. The coupling strength of the Gauss-Bonnet coupling is constrained to be in the order of $10^{-15}$. In the Horndeski theory we show that in order for this theory to satisfy the stringent constraint on the speed of GWs the mass scale $M$ introduced in the non-minimally derivative coupling is constrained to be in the range $10^{15}\text{GeV}\gg M\gtrsim 2\times 10^{-35}$GeV taking also under consideration the early times upper bound for the mass scale $M$. The large mass ranges require no fine-tuning because the effect of non-minimally derivative coupling is negligible at late times.

7 pages, 1 figure, typo corrected, references added and updated, Eur. Phys. J. C in press

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• Successful Higgs inflation from combined nonminimal and derivative couplings
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• Constraint on the mass of graviton with gravitational waves
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• Constraining Palatini-Horndeski theory with gravitational waves after GW170817
• The Reconstruction of Non-Minimal Derivative Coupling Inflationary Potentials
• Constraints on Scalar-Tensor Theory of Gravity by Solar System Tests
• Vectorial and spinorial perturbations in Galileon Black Holes: Quasinormal modes, quasiresonant modes and stability
• Testing alternative theories of gravity with space-based gravitational wave detectors
• Exploring cosmological imprints of phantom crossing with dynamical dark energy in Horndeski gravity
• Formation of Bound States of scalar fields in AdS-asymptotic Wormholes
• Understanding large scale CMB anomalies with the generalized non-minimal derivative coupling during inflation
• Scalar-Gauss-Bonnet model, the coincidence problem and the gravitational wave speed
• Strong Equivalence Principle and Gravitational Wave Polarizations in Horndeski Theory
• Quantum Effects in Galileon Black Holes
• Classical and quantum cosmology of Fab Four John theories
• Higher order mimetic gravity after GW170817
• Constant-roll inflation with non-minimally derivative coupling
• Dynamical hair growth in black hole binaries in Einstein-scalar-Gauss-Bonnet gravity
• Nonminimal Derivative Coupling Cosmology and the Speed of Gravitational Waves
• A New Set of Maxwell-Lorentz Equations and Rediscovery of Heaviside-Maxwellian (Vector) Gravity from Quantum Field Theory
• Gravitational-wave constraints on noncommutative spacetime from GW190814